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Reproductive Networks

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Part of the book series: Springer Series in Synergetics ((SSSYN,volume 51))

Abstract

In this chapter we consider multicomponent active systems of reproductive agents. Such agents are assumed to interact, either directly or through some mediators, so that the interactions influence their reproduction rates. If a particular interaction enhances the reproduction rate, it is activatory; if it reduces the rate of reproduction, it can be considered as inhibitory. Such reproductive networks comprise a large number of models that are found in various fields, from chain nuclear reactions to prebiological evolution, ecological systems, and market economies.

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References

  1. M. Eigen, Naturwissenschaften 58, 465 (1971)

    Article  ADS  Google Scholar 

  2. M. Eigen, P. Schuster: The Hypercycle (Springer, Berlin, Heidelberg 1979)

    Book  Google Scholar 

  3. J. Schumpeter: The Theory of Economic Development (Harvard Univ. Press, Cambridge 1934)

    Google Scholar 

  4. A.A. Alchian: J. Political Economy 58, 211–222 (1951)

    Google Scholar 

  5. R.R. Nelson, S.G. Winter: An Evolutionary Theory of Economic Change (Harvard Univ. Press, Cambridge 1982)

    Google Scholar 

  6. M.A. Jimenez Montano, W. Ebeling: Collective Phenomena 3, 107–114 (1980)

    Google Scholar 

  7. G. Silverberg: “Modelling economic dynamics and technical change: mathematical approaches to self-organization and evolution” in Technical Change and Economic Theory, ed. by G. Dosi et.al. (Pinter, New York 1988) pp. 531–559

    Google Scholar 

  8. P. Schuster: Physica 22D, 100–119 (1986)

    MathSciNet  Google Scholar 

  9. W. Ebeling, R. Feistel: Physik der Selbstorganisation und Evolution (Akademie-Vertag, Berlin 1982)

    Google Scholar 

  10. L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics. Vol. 3. Quantum Mechanics (Pergamon, Oxford 1977) S38

    Google Scholar 

  11. P. Schuster, K. Sigmund, R. Wolff: Bull. Math. Biol. 38, 282 (1980)

    MathSciNet  Google Scholar 

  12. J. Hofbauer, P. Schuster, K. Sigmund: J. Math. Biol. 11, 155 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  13. P.E. Phillipson, P. Schuster: J. Chem. Phys. 79, 3807 (1983)

    Article  ADS  Google Scholar 

  14. N.K. Jeme: Sci. Amer. No. 7, 52–60 (1973)

    Google Scholar 

  15. N.K. Jeme: Science 229, 1057–1059 (1985)

    Article  ADS  Google Scholar 

  16. N.K. Jeme: “Structural analogies between the immune system and the nervous system” in Stability and Origin of Biological Information, ed. by I.R. Miller (Wiley, New York 1975) pp. 201–204

    Google Scholar 

  17. M. Conrad: BioSystems 5, 1–14 (1972)

    Article  Google Scholar 

  18. M. Conrad: J. Neurosci. Res. 2, 233–254 (1976)

    Article  Google Scholar 

  19. M. Conrad: Comm. ACM 28, 464–480 (1985)

    Article  Google Scholar 

  20. E.A. Liberman: Bio Systems 11, 111–124 (1979)

    Article  MathSciNet  Google Scholar 

  21. A. Fuchs, H. Haken: “Computer simulations of pattern recognition as a dynamical process of a synergetic system” in Neural and Synergetic Computers, ed. by H. Haken, Springer Ser. Synergetics Vol.42 (Springer, Berlin, Heidelberg 1988) pp. 16–28

    Google Scholar 

  22. A.S. Mikhailov: “Engineering of dynamical systems for pattern recognition and information processing” in Nonlinear Waves. Dynamics and Evolution, ed. by A.V. Gaponov-Grekhov, M.I. Rabinovich (Springer, Berlin, Heidelberg 1989)

    Google Scholar 

  23. S.A. Gerzon, A.S. Mikhailov: Dokl. Akad. Nauk SSSR 291, 228–230 (1986)

    MathSciNet  Google Scholar 

  24. T. Boseniuk, W. Ebeling, A. Engel: Phys. Lett. 125A, 307–311 (1987)

    ADS  Google Scholar 

  25. R.D. Alexander: Darwinism and Human Affairs (Univ. Washington Press, Seattle 1979)

    Google Scholar 

  26. J.H. Crook: Evolution of Human Consciousness (Clarendon Press, Oxford 1980)

    Google Scholar 

  27. J.D. Farmer, N.H. Packard, A.S. Perelson: Physica 22D, 187–204 (1986)

    MathSciNet  Google Scholar 

  28. J.H. Holland: Physica 22D, 307–317 (1986)

    MathSciNet  ADS  Google Scholar 

  29. G. Weisbuch, H. Aüan, J. Phys. A21, L189–192 (1988)

    ADS  Google Scholar 

  30. U. Behn, J.L. van Hemmen: J. Stat. Phys. 56, 533–545 (1989)

    Article  ADS  MATH  Google Scholar 

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© 1990 Springer-Verlag Berlin Heidelberg

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Mikhailov, A.S. (1990). Reproductive Networks. In: Foundations of Synergetics I. Springer Series in Synergetics, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97269-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-97269-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-97271-3

  • Online ISBN: 978-3-642-97269-0

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